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<!doctype html>
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<h2>Educational</h2>
<p> The following lists are not complete. Please contact us if you have
any suggestion on modifications. </p>
<h3>Getting started</h3>
<a class="shiftedAnchor" name="getting_started"></a>
<p>We propose below a selection of books to start in discrete geometry and mathematical morphology.<br>
More advanced books are listed in the <a href="#materials">Materials
section.</a>
</p>
<ul>
<li> A. Rosenfeld and A.C. Kak, <u>Digital Image Processing</u>, Academic Press, 1982. </li>
<li> K.Voss, <u>Discrete Images, Objects, and Functions in Z<font="-2"><sup>n</sup></font></u>,
Springer 1993. </li>
<li> T.Y. Kong and A. Rosenfeld, <u>Topological Algorithms for Digital Image Processing</u>, North
Holland, 1996. </li>
<li> L. S. Davis (ed.), <u>Foundations of Image Understanding</u>, Kluwer, Amsterdam (2001). </li>
<li> Jean-Marc Chassery and Annick Montanvert (eds.), <u>Géométrie Discrète en
analyse d'images</u>, Hermès, 1991 <i>(in French)</i> </li>
<li>David Coeurjolly, Annick Montanvert and Jean-Marc Chassery (eds.), <u>Géométrie
Discrète et images numériques</u>, Traité IC2, Hermès,
2007<i>(in French)</i> </li>
<li>Laurent Najman, Hugues Talbot <u> <a href="Images/bookMM1.png"> Morphologie mathématique : Tome
1, Approches déterministes</a></u> Hermes Science Publications (26 août 2008) (in
French)</li>
<li>Laurent Najman, Hugues Talbot <u> <a href="Images/bookWiley.jpg"> Mathematical Morphology: From
Theory to Applications</a></u>, Wil
ey-ISTE; 1 edition (August 23, 2010)</li>
<li>Laurent Najman, Hugues Talbot <u> <a href="Images/bookMM1.png"> Morphologie mathématique : Tome
2, Estimation, choix et mise en oeuvre</a></u> Hermes Science Publications (3 septembre
2010) (in French)</li>
<li>Valentin E. Brimkov and Reneta P. Barneva,<u>Digital Geometry Algorithms: Theoretical
Foundations and Applications to Computational Imaging</u>, Springer Lecture Notes in
Computational Vision and Biomechanics, 2012</li>
<li>Ullrich Köthe, Annick Montanvert and Pierre Soille, <u>Applications of Discrete Geometry
and Mathematical Morphology</u>,<i> Springer LNCS 7346, 2012</i></li>
<li>Punam Saha, Gunilla Borgefors, Gabriella Sanniti di Baja, <u> <a href="Images/Skeletonbook.jpg">
Skeletonization, Theory, Methods and Applications</a></u>, Academic Press, June 2017
</li>
</ul>
Web resources:
<p>
<ul>
<li> I. Bloch, <a href="subfieldTopology.html"> Digital Representations </a> <i>(in the "Grids,
cells, structure and
topology" subfield)</i>:
<ul> Tessellation and grids, Digital
topology, Representations of some geometrical entities and
Distance Transform.
</ul>
</li>
</ul>
</p>
<h3>Subfields and related lectures </h3>
<a class="shiftedAnchor" name="subfields_and_related_lectures"></a>
Discrete geometry can be structured into several subfields. Of course
this kind of classification is not unique... we proposed below a
structure as logical as possible in the following. For each subfield,
we expect to propose (as soon as possible...) some main references,
lectures or slides provided by members and links to data sets and codes.<br>
<br>
<ul>
<li><a href="subFieldTopology.html">Grids, cells, structures
and topology</a></li>
digital topology, border/frontier tracking, graph theory and combinatorics<br>
</ul>
<ul>
<li><a href="subfieldNdObjects.html">nD objects and
recognition</a></li>
digitization frameworks and models, discrete analytical objects (lines, planes, circles,
...), recognition algorithms<br>
</ul>
<ul>
<li><a href="subfieldDistSkel.html">Discrete
distances and skeletons</a></li>
square and diamond distances, chamfer distances, Euclidean distance,
skeletons, medial axis and medial lines/surfaces<br>
</ul>
<ul>
<li><a href="subfieldGeomTrans.html">Discrete
geometrical transforms </a></li>
rotations, magnification<span style="text-decoration: underline;"></span>
</ul>
<ul>
<li><a href="subfieldShapeRepresentation.html">Various shape
representation </a></li>
hulls, multiscale shapes, Fourier moments, fractals, ...<br>
</ul>
<ul>
<li><a href="subfieldFeaturesExtr.html">Features
extraction and similarity measures</a></li>
convexity, lengths and areas, curvature, normals, ...<br>
</ul>
<ul>
<li><a href="subfieldApplications.html">Examples of
applications</a></li>
image rendering, compression, ...
</ul>
<ul>
<li>Discrete Tomography image reconstruction, and uniqueness from X-rays</li>
</ul>
Do not hesitate to help us to complete these subfields. Thanks in
advance!<br>
<br>
<h4>Tutorials on Discrete Geometry and Mathematical Morphology </h4>
Different tutorial were proposed in link to different majors events like ACCV and ICPR:
<ul>
<li>ACPR 2019 <a href="https://kerautret.github.io/ACPR19-DGPRTutorial/">Tutorial on Digital
Geometry in Pattern Recognition</a>:
The purpose of this tutorial presented by Jacques-Olivier Lachaud and Bertrand Kerautret was to
present new efficient and easy to reproduce algorithms dedicated to the robust extraction of
geometric features on digital objects. </li>
<li>ACCV 2016 <a href="https://kerautret.github.io/ACCV2016DGPTutorial/">Tutorial on Digital
Geometry Processing</a>:
The aim of this tutorial proposed by Bertrand Kerautret was to present the new robust geometric
estimators (like normals, tangents, curvature and local noise estimators). Starting from their
theoretical description up to their concrete implementation in the emerging DGtal Library
framework.</li>
<li>ACCV 2016 Tutorial <a
href="http://www.cs.rug.nl/~michael/ACCV2016-MM-Tutorial/">Content-Adaptive Morphological
Filters</a>. </li> This tutorial presented byu Hugues Talbot1 and Michael H.F. Wilkinson was
is intended for PhD students and other researchers who have limited or no familiarity with advanced
morphological filters. (slide are avaible <a href="subfield/ACCVSlidesHugues.pdf">here</a>).</li>
<li> ICPR 2016 Tutorial on <a
href="http://www.icpr2016.org/site/session/a-tutorial-on-graph-based-mathematical-morphology/">
Graph-based Mathematical Morphology</a></li> This tutorial was proposed by Laurent Najman
and Hugues Talbot and it
aims at disseminating graph-based ideas stemming from the mathematical
morphology community to the interested public of ICPR attendees.</li>
</ul>
<h3>Materials</h3>
<a class="shiftedAnchor" name="materials"></a>
<h4>Books</h4>
<ul>
<li> V. Kovalevsky <a href="http://www.kovalevsky.de/FlyerTab4.htm">Geometry of Locally Finite Spaces</a>. Publishing House Dr. Baerbel Kovalevski, Berlin. ISBN 978-3-9812252-0-4, 2008</li>
<li> L. Chen <a href="http://www.spclab.com/publisher/dsm.html"><u>Discrete Surfaces and Manifolds: A Theory of Digital-Discrete Geometry and Topology</u></a>, Scientific & Practical Computing,2004.</li>
<li> R. Klette, A. Rosenfeld <a href="http://www.citr.auckland.ac.nz/~rklette/Books/MK2004/"><u>Digital Geometry, geometric methods for digital picture analysis</u></a>, Morgan Kaufman, 2004.</li>
<li>R. Klette, A. Rosenfeld, F. Slodoba, <u>Advances in Digital and Computational Geometry</u>, Springer Verlag, 1998. </li>
<li> G. T. Herman, <u>Geometry of Digital Spaces</u>, Birkhauser 1998. </li>
<li> L. J. Latecki, <u>Discrete Representation of Spatial Objects in Computer Vision</u>, Series on Computational Imaging and Vision, ed. M. Viergever, Kluwer Academic Publishers, Dordrecht, 1998. </li>
<li> S. Marchand-Maillet and Y.M. Sharaiha, <u>Binary Digital Image Processing</u>, Academic Press, 2000. </li>
<li> G. Bertrand, A. Imiya, R. Klette (eds.), <u>Digital and Image Geometry</u>, Lecture Notes in Computer Science, LNCS 2243, Springer, 2001. </li>
<li> G. Herman and A. Kuba, <u>Discrete Tomography: Foundations, Algorithms, and Applications</u>, Birkhauser, 1999 </li>
<li>G. Herman and A. Kuba, <u>Advances in Discrete Tomography and its Applications</u>, Birkhauser, 2007.</li>
</ul>
<h4>Journals </h4>
<p>Works and results related to discrete geometry and mathematical morphology
are usually published in the following journals: </p>
<ul>
<li> <a href="http://www.elsevier.nl/locate/comgeo">Computational Geometry</a> </li>
<li> <a href="http://www.apnet.com/www/journal/iv.htm">Computer Vision, and Image Understanding</a> </li>
<li> <a href="https://www.springer.com/journal/454">Discrete and Computational Geometry</a> </li>
<li> <a href="http://www.elsevier.nl/locate/dam">Discrete Applied Mathematics</a> </li>
<li> <a href="http://www.academicpress.com/gmod">Graphical Models</a> (previously Graphical Models and Image Processing) </li>
<li> <a href="http://www.computer.org/cga/">IEEE Computer Graphics and Applications</a> </li>
<li> <a href="http://www.ieee.org/organizations/pubs/transactions/tip.htm">IEEE Transactions on Image Processing</a> </li>
<li> <a href="http://www.ieee.org/organizations/pubs/transactions/tpami/">IEEE Transactions on Pattern Analysis and Machine Intelligence</a> </li>
<li> <a href="http://www.ieee.org/organizations/pubs/transactions/tvcg.htm">IEEE Transactions on Visualization and Computer Graphics</a> </li>
<li> <a href="http://www.elsevier.com/locate/imavis">Image and Vision Computing</a> </li>
<li> <a href="http://www.worldscinet.com/ijprai/ijprai.shtml">International Journal on Pattern Recognition and Artificial Intelligence</a> </li>
<li> <a href="http://www.wkap.nl/journalhome.htm/0924-9907">Journal of Mathematical Imaging and Vision</a> </li>
<li> <a href="http://www.elsevier.nl/topol">Journal of Topology and its Applications</a> </li>
<li> <a href="http://www.apnet.com/www/journal/vc.htm">Journal of Visual Communication and Image Representation</a> </li>
<li> <a href="http://www.elsevier.nl/locate/pr">Pattern Recognition</a> </li>
<li> <a href="http://www.elsevier.nl/locate/patrec">Pattern Recognition Letters</a> </li>
<li> <a href="http://www.elsevier.nl/locate/tcs">Theoretical Computer Science</a></li>
<li> <a href="https://www.ipol.im">Image Processing Online</a></li>
</ul>
<br> <br>
Since 2013, we collect every year the references of DG papers published in these journals:
<ul>
<li> <a href="files/2013-Papers.txt"> 2013 </a> </li>
<li> <a href="files/2014-Papers.txt"> 2014 </a> </li>
<li> <a href="files/2015-Papers.txt"> 2015 </a> </li>
<li> <a href="files/2016-Papers.txt"> 2016 </a> </li>
<li> <a href="files/2017-Papers.txt"> 2017 </a> </li>
<li> <a href="files/2018-Papers.txt"> 2018 </a> </li>
<li> <a href="files/2019-Papers.txt"> 2019 </a> </li>
<li> <a href="files/2020-Papers.txt"> 2020 </a> </li>
</ul>
<br>
<h4>Conferences</h4>
<ul>
<li>
<b>Discrete Geometry and Mathematical Morphology (DGMM)</b><br>
Main TC18 conference, held every 18 months.
For more information, see <a href="events.html#dgmm"><i>DGMM</i></a>.
</li>
<li>
<b>Discrete Geometry for Computer Imagery (DGCI)</b><br>
Previously held every 18 months, discontinued in favor of DGMM.
For more information, see <a href="events.html#dgci"><i>DGCI</i></a>.
</li>
<li>
<b>International Symposium on Mathematical Morphology (ISMM)</b><br>
Previously held every 2 years, discontinued in favor of DGMM.
For more information, see <a href="events.html#ismm"><i>ISMM</i></a>.
</li>
<li>
<b>International Conference on Pattern Recognition (ICPR)</b><br>
Main IAPR conference, held every 2nd year.
<!-- <a href="http://www.comp.hkbu.edu.hk/~icpr06/"> Next edition in Hong -->
<!-- Kong, August 2006.</a> -->
</li>
<li>
<b>Vision Geometry</b><br>
as part of the IS&T/SPIE Annual Symposium on Electronic Imaging.
<!-- <a href="http://electronicimaging.org/call/05/conferences/index.cfm?fuseaction=EI113">Previous -->
<!-- edition in San Jose, USA, 2005</a> -->
</li>
<li> <a href="http://www.dagstuhl.de/">
<b>Dagstuhl Seminars</b></a><br>
Seminars on various topic organized at Schloss Dagstuhl international
conference and research center for computer science.
</li>
<li>
<b>Workshop on Discrete Tomography and its Applications</b></a><br>
<!-- City University of New York, 2005. -->
</li>
<li>
<b>International Workshop on Combinatorial Image Analysis (IWCIA)</b><br>
Conference held every 18 months.
<!-- <a href="http://citr.auckland.ac.nz/%7EIWCIA04/">IAPR sponsored 10th -->
<!-- edition in Auckland, New Zealand, 2004.</a> -->
</li>
<li>
<b>International Conference on Computer Analysis of Images and Patterns (CAIP)</b><br>
Conference held every 2nd year.
<!-- <a href="http://acivs.org/caip2005/">Next edition in Paris, France, -->
<!-- 2005.</a> -->
</li>
<li>
<b>Scandinavian Conference on Image Analysis (SCIA)</b><br>
Conference held every 2nd year in one of the Scandinavian
countries.
<!-- <a href="http://www.cs.joensuu.fi/scia05/">Next edition in Joensuu, Finland, -->
<!-- 2005.</a> -->
</li>
<li>
<b>International Conference on Image Analysis and Processing (ICIAP)</b><br>
Conference held every 2nd year in Italy.
</li>
<li>
<b>International Workshop on Computational Topology in Image Context (CTIC)</b><br>
Workshop held every 18 months.
</li>
<li>
<b>Reconnaissance des Formes et Intelligence Artificielle (RFIA)</b><br>
Conference held in France.
<!-- <a href="http://www.antsearch.univ-tours.fr/rfia2006/">Next edition in -->
<!-- 2006.</a> -->
</li>
<li>
<b>Workshop on Digital Topology</b><br>
<!-- City University of New York, 2001. -->
</li>
<li>
<b>International Workshop on Visual Form (IWVF)</b><br>
Workshop held approximately every 3rd year.
<!-- <a href="http://amalfi.dis.unina.it/iwvf4/">Previous edition in 2001.</a> -->
</li>
</ul>
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